JEE Main 2025 (Online) 28th January Morning Shift — Question Paper

Download this paper as a PDF (14 pages, with answer key)

Physics

• Due to presence of an em-wave whose electric component is given by E=100 sin (ω t-k x)…
• A double slit interference experiment performed with a light of wavelength 600 nm forms…
• The center of mass of a thin rectangular plate (fig - x ) with sides of length a and b…
• In a measurement, it is asked to find modulus of elasticity per unit torque applied on…
• Two iron solid discs of negligible thickness have radii R₁ and R₂ and moment of intertia…
• Consider a long thin conducting wire carrying a uniform current I. A particle having…
• The moment of inertia of a solid disc rotating along its diameter is 2.5 times higher…
• A Carnot engine (E) is working between two temperatures 473 K and 273 K . In a new…
• A tiny metallic rectangular sheet has length and breadth of 5 mm and 2.5 mm…
• A thin prism P₁ with angle 4° made of glass having refractive index 1.54 , is combined…
• A bead of mass ' m ' slides without friction on the wall of a vertical circular hoop of…
• Given below are two statements: one is labelled as Assertion A and the other is labelled…
• Consider following statements: A. Surface tension arises due to extra energy of the…
• Choose the correct nuclear process from the below options [ p : proton, n : neutron, e⁻…
• Given below are two statements : one is labelled as Assertion A and the other is…
• Two capacitors C₁ and C₂ are connected in parallel to a battery. Charge-time graph is…
• In the experiment for measurement of viscosity ' η ' of given liquid with a ball having…
• A proton of mass ' m_P ' has same energy as that of a photon of wavelength ' λ '. If the…
• Find the equivalent resistance between two ends of the following circuit
• For a particular ideal gas which of the following graphs represents the variation of…
• Three infinitely long wires with linear charge density λ are placed along the x-a x i s…
• A particle of mass ' m ' and charge ' q ' is fastened to one end ' A ' of a massless…
• A wire of resistance R is bent into an equilateral triangle and an identical wire is…
• A hemispherical vessel is completely filled with a liquid of refractive index μ. A small…
• Which of the following circuits has the same output as that of the given circuit?

Chemistry

• The incorrect decreasing order of atomic radii is
• The molecules having square pyramidal geometry are
• Quantitative analysis of an organic compound (X) shows following % composition. C : 14.5…
• The formation enthalpies, Δ H_f⊖ for H_((g)) and O_((g)) are 220.0 and 250.0 kJ mol⁻¹…
• Given below is the plot of the molar conductivity vs √concentration for KCl in aqueous…
• In a multielectron atom, which of the following orbitals described by three quantum…
• The metal ion whose electronic configuration is not affected by the nature of the ligand…
• The molarity of a 70 % (mass/mass) aqueous solution of a monobasic acid (X) is _________…
• Consider the following elements In, Tl, Al, Pb, Sn and Ge . The most stable oxidation…
• Which of the following oxidation reactions are carried out by both K₂ Cr₂ O₇ and KMnO₄…
• Both acetaldehyde and acetone (individually) undergo which of the following reactions?…
• A weak acid HA has degree of dissociation x . Which option gives the correct expression…
• The correct order of stability of following carbocations is :
• Match the List - I with List - II List - I (Redox Reaction) | List - II (Type of Redox…
• What is the freezing point depression constant of a solvent, 50 g of which contain 1 g…
• Consider the following sequence of reactions: 11.25 mg of chlorobenzene will produce…
• Given below are two statements: Statement I: In the oxalic acid vs KMnO₄ (in the…
• The products A and B in the following reactions, respectively are A ↔(Ag-NO₂)…
• For a given reaction R → P, t_(1 / 2) is related to [A]₀ as given in table. Given: log…
• The compounds that produce CO₂ with aqueous NaHCO₃ solution are: Choose the correct…
• Given below are two statements: Statement I : D-glucose pentaacetate reacts with 2,4…
• Consider ' n ' is the number of lone pair of electrons present in the equatorial…

Mathematics

• Two number k₁ and k₂ are randomly chosen from the set of natural numbers. Then, the…
• The sum of all local minimum values of the function f(x)={1-2 x,, x<-1; 1/3(7+2|x|),, -1…
• cos (sin ⁻¹ 3/5+sin ⁻¹ 5/13+sin ⁻¹ 33/65) is equal to:
• Three defective oranges are accidently mixed with seven good ones and on looking at…
• Let f: ℝ → ℝ be a function defined by f(x)=(2+3 a) x²+((a+2)/(a-1)) x+b, a ≠ 1. If…
• Let Tᵣ be the rᵗʰ term of an A.P. If for some m, Tₘ=1/25, T₂₅=1/20, and 20 Σᵣ₌₁²⁵ Tᵣ=13…
• Let for some function y=f(x), ∫₀ˣ t f(t) d t=x² f(x), x>0 and f(2)=3. Then f(6) is equal…
• If α=1+Σᵣ₌₁⁶(-3)ʳ⁻¹ ¹² C₂ᵣ₋₁, then the distance of the point (12, √3) from the line α…
• Let E₁: x²/9+y²/4=1 be an ellipse. Ellipses Eᵢ 's are constructed such that their…
• The area (in sq. units) of the region {(x,y):0≤ y≤ 2|x|+1,0≤ y≤ x²+1,|x|≤ 3} is
• Let a⃗=î+ĵ+k̂, b⃗=2 î+2 ĵ+k̂ and d⃗=a⃗ × b⃗. If c⃗ is a vector such that a⃗ · c⃗=|c⃗|…
• Let the equation of the circle, which touches x-axis at the point (a, 0), a>0 and cuts…
• If ∫_(-π/2)^(π/2) (96 x² cos ² x)/(1+eˣ) d x=π(α π²+β), α, β ∈ ℤ, then (α+β)² equals
• Let ⟨ aₙ⟩ be a sequence such that a₀=0, a₁=1/2 and 2 aₙ₊₂=5 aₙ₊₁-3 aₙ, n=0,1,2,3, ……
• Let O be the origin, the point A be z₁=√3+2 √2 i, the point B(z₂) be such that…
• The sum, of the squares of all the roots of the equation x²+|2 x-3|-4=0, is
• If f(x)=2ˣ/(2ˣ+√2), x ∈ ℝ, then Σk=1⁸¹ f(k/82) is equal to
• Let f(x)={3 x,, x<0; min {1+x+[x], x+2[x]},, 0 ≤ x ≤ 2; 5,, x>2 where [.] denotes…
• Let ABCD be a trapezium whose vertices lie on the parabola y²=4 x. Let the sides AD and…
• The number of different 5 digit numbers greater than 50000 that can be formed using the…
• Let M denote the set of all real matrices of order 3 × 3 and let S={-3,-2,-1,1,2}. Let…
• Let A(x, y, z) be a point in x y-plane, which is equidistant from three points…
• The relation R={(x, y): x, y ∈ ℤ and x+y is even } is:
• If the image of the point (4,4,3) in the line (x-1)/2=(y-2)/1=(z-1)/3 is (α, β, γ), then…
• Let ⁿ Cᵣ₋₁=28, ⁿ Cᵣ=56 and ⁿ Cᵣ₊₁=70. Let A(4 cost, 4 sin t), B(2 sin t,-2 cos t) and…

Download all JEE Main 2025 PYQs chapter-wise as free PDFs